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Finding the Third Proportional to 1,586,494.50 and 3,093,285

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Solution

The third proportional to 1,586,494.50 and 3,093,285 is: 6,031,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,494.50 : 3,093,285 = 3,093,285 : x
  2. Step 2: Convert to fraction form
    1,586,494.50/3,093,285 = 3,093,285/x
  3. Step 3: Cross multiply
    1,586,494.50x = 3,093,285 × 3,093,285
  4. Step 4: Simplify right side
    1,586,494.50x = 9,568,412,091,225
  5. Step 5: Solve for x
    x = 9,568,412,091,225/1,586,494.50
  6. Step 6: Final answer
    x = 6,031,166.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.